Limiting Ratios of Generalized Recurrence Relations
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Abstract
Recurrence relations are used to study the behavior of terms of a particular sequence. In this paper, I am primarily focused on determining the ratio of (n + 1)th term to nth term which is called as limiting ratio. Beginning with the recurrence relations for Fibonacci sequence, I extended it gradually to obtain a more generalized recurrence relation and determine the limiting ratio for that general case. Several figures are provided to verify and enhance the understanding of the limiting results obtained.
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